Low Dimensional Quantum Field Theory And Its Applications

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Low-Dimensional Applications of Quantum Field Theory

Author : L. Baulieu
Publisher : Springer Science & Business Media
ISBN 13 : 1489919198
Total Pages : 374 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Low-Dimensional Applications of Quantum Field Theory by : L. Baulieu

Download or read book Low-Dimensional Applications of Quantum Field Theory written by L. Baulieu and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Cargese Summer School "Low Dimensional Applications of Quantum Field Theory" was held in July 1995. The School was dedicated to the memory of Claude Itzykson. This session focused on the recent progress in quantum field theory in two dimen sions with a particular emphasis on integrable models and applications of quantum field theory to condensed matter physics. A large fraction of the school was also devoted to a detailed review of the exciting developments in four dimensional super symmetric Yang-Mills theory. The diversity of the topics presented constitute, in our opinion, one of the most attractive features of these proceedings. Some contributions constitute a very thor ough introduction to their subject matter and should be helpful to advanced students in the field while others present entirely new research, not previously published, and should be of considerable interest to the specialist. There were in depth introductory lectures on the application of conformal field theory techniques to disordered systems, on the quantum Hall effect, on quantum in tegrable systems, on the thermodynamic Bethe Ansatz and on the new developments in supersymmetric gauges theories. The computation of the three point function of the Liouville model using conformal bootstrap methods was presented in detail.

Low-dimensional Quantum Field Theory and Its Applications

Author : Tōkyō Daigaku. Institute for Nuclear Study
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (796 download)

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Book Synopsis Low-dimensional Quantum Field Theory and Its Applications by : Tōkyō Daigaku. Institute for Nuclear Study

Download or read book Low-dimensional Quantum Field Theory and Its Applications written by Tōkyō Daigaku. Institute for Nuclear Study and published by . This book was released on 1990 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Low-Dimensional Topology and Quantum Field Theory

Author : Hugh Osborn
Publisher : Springer Science & Business Media
ISBN 13 : 1489916121
Total Pages : 318 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Low-Dimensional Topology and Quantum Field Theory by : Hugh Osborn

Download or read book Low-Dimensional Topology and Quantum Field Theory written by Hugh Osborn and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The motivations, goals and general culture of theoretical physics and mathematics are different. Most practitioners of either discipline have no necessity for most of the time to keep abreast of the latest developments in the other. However on occasion newly developed mathematical concepts become relevant in theoretical physics and the less rigorous theoretical physics framework may prove valuable in understanding and suggesting new theorems and approaches in pure mathematics. Such interdis ciplinary successes invariably cause much rejoicing, as over a prodigal son returned. In recent years the framework provided by quantum field theory and functional in tegrals, developed over half a century in theoretical physics, have proved a fertile soil for developments in low dimensional topology and especially knot theory. Given this background it was particularly pleasing that NATO was able to generously sup port an Advanced Research Workshop to be held in Cambridge, England from 6th to 12th September 1992 with the title Low Dimensional Topology and Quantum Field Theory. Although independently organised this overlapped as far as some speak ers were concerned with a longer term programme with the same title organised by Professor M Green, Professor E Corrigan and Dr R Lickorish. The contents of this proceedings of the workshop demonstrate the breadth of topics now of interest on the interface between theoretical physics and mathematics as well as the sophistication of the mathematical tools required in current theoretical physics.

Low-dimensional Quantum Field Theories For Condensed Matter Physicists - Lecture Notes Of Ictp Summer Course

Author : Lu Yu
Publisher : World Scientific
ISBN 13 : 9814556831
Total Pages : 625 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Low-dimensional Quantum Field Theories For Condensed Matter Physicists - Lecture Notes Of Ictp Summer Course by : Lu Yu

Download or read book Low-dimensional Quantum Field Theories For Condensed Matter Physicists - Lecture Notes Of Ictp Summer Course written by Lu Yu and published by World Scientific. This book was released on 1995-02-28 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a set of pedagogical reviews covering the most recent applications of low-dimensional quantum field theory in condensed matter physics, written by experts who have made major contributions to this rapidly developing field of research. The main purpose is to introduce active young researchers to new ideas and new techniques which are not covered by the standard textbooks.

Non-perturbative Quantum Field Theory: Mathematical Aspects And Applications

Author : Jurg Frohlich
Publisher : World Scientific
ISBN 13 : 9814506567
Total Pages : 855 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Non-perturbative Quantum Field Theory: Mathematical Aspects And Applications by : Jurg Frohlich

Download or read book Non-perturbative Quantum Field Theory: Mathematical Aspects And Applications written by Jurg Frohlich and published by World Scientific. This book was released on 1992-04-29 with total page 855 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.

Low-Dimensional Systems: Theory, Preparation, and Some Applications

Author : Luis M. Liz-Marzán
Publisher : Springer Science & Business Media
ISBN 13 : 940100143X
Total Pages : 329 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Low-Dimensional Systems: Theory, Preparation, and Some Applications by : Luis M. Liz-Marzán

Download or read book Low-Dimensional Systems: Theory, Preparation, and Some Applications written by Luis M. Liz-Marzán and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers presented at the NATO Advanced Research Workshop (ARW) Dynamic Interactions in Quantum Dot Systems held at Hotel Atrium in Puszczykowo, near Poznan, Poland, May 16-19,2002. The term low-dimensional systems, which is used in the title of this volume, refers to those systems which contain at least one dimension that is intermediate between those characteristic ofatoms/molecules and those ofthe bulk material. Depending on how many dimensions lay within this range, we generally speak of quantum wells, quantum wires, and quantum dots. As such an intermediate state, some properties of low-dimensional systems are very different to those of their molecular and bulk counterparts. These properties generally include optical, electronic, and magnetic properties, and all these are partially covered in this book. The main goal of the workshop was to discuss the actual state of the art in the broad area ofnanotechnology. The initial focus was on the innovative synthesis of nanomaterials and their properties such as: quantum size effects, superparamagnetism, or field emission. These topics lead us into the various field based interactions including plasmon- magnetic spin- and exciton coupling. The newer, more sophisticated methods for characterization of nanomaterials were discussed, as well as the methods for possible industrial applications. In general, chemists and physicists, as well as experts on both theory and experiments on nanosized regime structures were brought together, to discuss the general phenomena underlying their fields ofinterest from different points ofview.

Special Issue on Recent Advances in Low-dimensional Quantum Field Theories

Author :
Publisher :
ISBN 13 :
Total Pages : 569 pages
Book Rating : 4.:/5 (644 download)

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Book Synopsis Special Issue on Recent Advances in Low-dimensional Quantum Field Theories by :

Download or read book Special Issue on Recent Advances in Low-dimensional Quantum Field Theories written by and published by . This book was released on 2006 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on Field Theory and Topology

Author : Daniel S. Freed
Publisher : American Mathematical Soc.
ISBN 13 : 1470452065
Total Pages : 186 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Lectures on Field Theory and Topology by : Daniel S. Freed

Download or read book Lectures on Field Theory and Topology written by Daniel S. Freed and published by American Mathematical Soc.. This book was released on 2019-08-23 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. While the joint work of the author and Michael Hopkins is a focal point, a general geometric frame of reference on quantum field theory is emphasized. Early lectures describe the geometric axiom systems introduced by Graeme Segal and Michael Atiyah in the late 1980s, as well as subsequent extensions. This material provides an entry point for mathematicians to delve into quantum field theory. Classification theorems in low dimensions are proved to illustrate the framework. The later lectures turn to more specialized topics in field theory, including the relationship between invertible field theories and stable homotopy theory, extended unitarity, anomalies, and relativistic free fermion systems. The accompanying mathematical explanations touch upon (higher) category theory, duals to the sphere spectrum, equivariant spectra, differential cohomology, and Dirac operators. The outcome of computations made using the Adams spectral sequence is presented and compared to results in the condensed matter literature obtained by very different means. The general perspectives and specific applications fuse into a compelling story at the interface of contemporary mathematics and theoretical physics.

Low-dimensional Quantum Field Theories for Condensed Matter Physicists

Author : Stig Lundqvist
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789810221409
Total Pages : 611 pages
Book Rating : 4.2/5 (214 download)

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Book Synopsis Low-dimensional Quantum Field Theories for Condensed Matter Physicists by : Stig Lundqvist

Download or read book Low-dimensional Quantum Field Theories for Condensed Matter Physicists written by Stig Lundqvist and published by World Scientific Publishing Company Incorporated. This book was released on 1995 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a set of pedagogical reviews covering the most recent applications of low-dimensional quantum field theory in condensed matter physics, written by experts who have made major contributions to this rapidly developing field of research. The main purpose is to introduce active young researchers to new ideas and new techniques which are not covered by the standard textbooks

An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry

Author : Ilarion V. Melnikov
Publisher : Springer
ISBN 13 : 3030050858
Total Pages : 482 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry by : Ilarion V. Melnikov

Download or read book An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry written by Ilarion V. Melnikov and published by Springer. This book was released on 2019-02-11 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces two-dimensional supersymmetric field theories with emphasis on both linear and non-linear sigma models. Complex differential geometry, in connection with supersymmetry, has played a key role in most developments of the last thirty years in quantum field theory and string theory. Both structures introduce a great deal of rigidity compared to the more general categories of non-supersymmetric theories and real differential geometry, allowing for many general conceptual results and detailed quantitative predictions. Two-dimensional (0,2) supersymmetric quantum field theories provide a natural arena for the fruitful interplay between geometry and quantum field theory. These theories play an important role in string theory and provide generalizations, still to be explored fully, of rich structures such as mirror symmetry. They also have applications to non-perturbative four-dimensional physics, for instance as descriptions of surface defects or low energy dynamics of solitonic strings in four-dimensional supersymmetric theories. The purpose of these lecture notes is to acquaint the reader with these fascinating theories, assuming a background in conformal theory, quantum field theory and differential geometry at the beginning graduate level. In order to investigate the profound relations between structures from complex geometry and field theory the text begins with a thorough examination of the basic structures of (0,2) quantum field theory and conformal field theory. Next, a simple class of Lagrangian theories, the (0,2) Landau-Ginzburg models, are discussed, together with the resulting renormalization group flows, dynamics, and symmetries. After a thorough introduction and examination of (0,2) non-linear sigma models, the text introduces linear sigma models that, in particular, provide a unified treatment of non-linear sigma models and Landau-Ginzburg theories. Many exercises, along with discussions of relevant mathematical notions and important open problems in the field, are included in the text.

Quantum Field Theory and Low-dimensional Geometry

Author : Michael Francis Atiyah
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (143 download)

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Book Synopsis Quantum Field Theory and Low-dimensional Geometry by : Michael Francis Atiyah

Download or read book Quantum Field Theory and Low-dimensional Geometry written by Michael Francis Atiyah and published by . This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Non-perturbative Quantum Field Theory

Author : Jürg Fröhlich
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789810204327
Total Pages : 841 pages
Book Rating : 4.2/5 (43 download)

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Book Synopsis Non-perturbative Quantum Field Theory by : Jürg Fröhlich

Download or read book Non-perturbative Quantum Field Theory written by Jürg Fröhlich and published by World Scientific Publishing Company Incorporated. This book was released on 1992 with total page 841 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.

Quantum Field Theory and Condensed Matter

Author : Ramamurti Shankar
Publisher : Cambridge University Press
ISBN 13 : 1108363989
Total Pages : 557 pages
Book Rating : 4.1/5 (83 download)

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Book Synopsis Quantum Field Theory and Condensed Matter by : Ramamurti Shankar

Download or read book Quantum Field Theory and Condensed Matter written by Ramamurti Shankar and published by Cambridge University Press. This book was released on 2017-08-31 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of thermodynamics and statistical mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena, Fermi liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm–Pines and Chern–Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics.

Nonperturbative Methods In Low Dimensional Quantum Field Theories - Proceedings Of The 14th Johns Hopkins Workshop On Current Problems In Particle Theory

Download Nonperturbative Methods In Low Dimensional Quantum Field Theories - Proceedings Of The 14th Johns Hopkins Workshop On Current Problems In Particle Theory PDF Online Free

Author : Gabor Domokos
Publisher : #N/A
ISBN 13 : 9814556505
Total Pages : 502 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Nonperturbative Methods In Low Dimensional Quantum Field Theories - Proceedings Of The 14th Johns Hopkins Workshop On Current Problems In Particle Theory by : Gabor Domokos

Download or read book Nonperturbative Methods In Low Dimensional Quantum Field Theories - Proceedings Of The 14th Johns Hopkins Workshop On Current Problems In Particle Theory written by Gabor Domokos and published by #N/A. This book was released on 1991-03-15 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This workshop was devoted to a discussion of recent progress made in the understanding of quantum field theories in spacetimes of less than four dimensions. In fact, the subject reached a certain degree of maturity and since most of the contributors played a major role in that progress, this volume constitutes a definitive treatise on this subject. Some of the subjects dealt with include: Quantum Groups and their Representations; W-Algebras and their Role in Physical Systems; Conformally Invariant Quantum Field Theories; Integrable Systems; Topological Field Theories.

Low-dimensional Quantum Field Theories for Condensed Matter Physicists

Author : Italy) Ictp Summer Course (1992 trieste
Publisher :
ISBN 13 : 9789810221409
Total Pages : 611 pages
Book Rating : 4.2/5 (214 download)

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Book Synopsis Low-dimensional Quantum Field Theories for Condensed Matter Physicists by : Italy) Ictp Summer Course (1992 trieste

Download or read book Low-dimensional Quantum Field Theories for Condensed Matter Physicists written by Italy) Ictp Summer Course (1992 trieste and published by . This book was released on 1995 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Superselection sectors in low dimensional quantum field theory

Author : Klaus Fredenhagen
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (753 download)

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Book Synopsis Superselection sectors in low dimensional quantum field theory by : Klaus Fredenhagen

Download or read book Superselection sectors in low dimensional quantum field theory written by Klaus Fredenhagen and published by . This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integrable Quantum Field Theories And Their Applications - Procs Of The Apctp Winter School

Author : Changrim Ahn
Publisher : World Scientific
ISBN 13 : 9814490180
Total Pages : 354 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Integrable Quantum Field Theories And Their Applications - Procs Of The Apctp Winter School by : Changrim Ahn

Download or read book Integrable Quantum Field Theories And Their Applications - Procs Of The Apctp Winter School written by Changrim Ahn and published by World Scientific. This book was released on 2001-09-25 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes several lecture notes on the fundamentals and elementary techniques of integrable field theories and on their applications to low-dimensional physics systems contributed by leading scientists in the respective fields. The main topics covered are various aspects of the thermodynamic Bethe ansatz, form factors, Calogero (and related) models, sigma models, conformal boundary conditions, etc. The volume presents both pedagogical material and a current research trend in the field.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)